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10518140 = 22541101127
BaseRepresentation
bin101000000111…
…111001111100
3201210101011202
4220013321330
510143040030
61013235032
7155255063
oct50077174
921711152
1010518140
115a34486
123632a78
132243669
14157b1da
15dcb745
hexa07e7c

10518140 has 48 divisors (see below), whose sum is σ = 23030784. Its totient is φ = 4032000.

The previous prime is 10518119. The next prime is 10518143. The reversal of 10518140 is 4181501.

It is a super-2 number, since 2×105181402 = 221262538119200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10518143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82757 + ... + 82883.

It is an arithmetic number, because the mean of its divisors is an integer number (479808).

Almost surely, 210518140 is an apocalyptic number.

10518140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10518140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11515392).

10518140 is an abundant number, since it is smaller than the sum of its proper divisors (12512644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10518140 is a wasteful number, since it uses less digits than its factorization.

10518140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 10518140 is about 3243.1682040869. The cubic root of 10518140 is about 219.1019867898.

Adding to 10518140 its reverse (4181501), we get a palindrome (14699641).

The spelling of 10518140 in words is "ten million, five hundred eighteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 101 127 164 202 205 254 404 410 505 508 635 820 1010 1270 2020 2540 4141 5207 8282 10414 12827 16564 20705 20828 25654 26035 41410 51308 52070 64135 82820 104140 128270 256540 525907 1051814 2103628 2629535 5259070 10518140